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Finding the Third Proportional to 317,821.22 and 686,057.34

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Solution

The third proportional to 317,821.22 and 686,057.34 is: 1,480,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,821.22 : 686,057.34 = 686,057.34 : x
  2. Step 2: Convert to fraction form
    317,821.22/686,057.34 = 686,057.34/x
  3. Step 3: Cross multiply
    317,821.22x = 686,057.34 × 686,057.34
  4. Step 4: Simplify right side
    317,821.22x = 470,674,678,913.31
  5. Step 5: Solve for x
    x = 470,674,678,913.31/317,821.22
  6. Step 6: Final answer
    x = 1,480,941.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.